Pith Number

pith:OJ3FT4EE

pith:2013:OJ3FT4EEZCFY6WGWSJ5OQTKQ5W

not attested not anchored not stored refs pending

On stable lattices and the diagonal group

Barak Weiss, Uri Shapira

arxiv:1309.4025 v1 · 2013-09-16 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJ3FT4EEZCFY6WGWSJ5OQTKQ5W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:13:11.467757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

727659f084c88b8f58d6927ae84d50ed953ef83f4520c61a60a53c71a33c476e

Aliases

arxiv: 1309.4025 · arxiv_version: 1309.4025v1 · doi: 10.48550/arxiv.1309.4025 · pith_short_12: OJ3FT4EEZCFY · pith_short_16: OJ3FT4EEZCFY6WGW · pith_short_8: OJ3FT4EE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OJ3FT4EEZCFY6WGWSJ5OQTKQ5W \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 727659f084c88b8f58d6927ae84d50ed953ef83f4520c61a60a53c71a33c476e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e7785d971d11237b81ed8db40a008858d746b7c94b731d64fa629fe14b05af",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-16T16:35:38Z",
    "title_canon_sha256": "edf8d6a361ccd7c61a349325325da95f8eba660c0d05cae5bed0bfdd4bb65d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4025",
    "kind": "arxiv",
    "version": 1
  }
}